论文:2012,Vol:30,Issue(6):820-824
引用本文:
杨永, 张强. 基于SA模型的两种曲率修正方法的应用及验证[J]. 西北工业大学
Yang Yong, Zhang Qiang. Implementing and Verifying Two Rotation/Curvature Correction Methods for Spalart-Allmaras Turbulence Model[J]. Northwestern polytechnical university

基于SA模型的两种曲率修正方法的应用及验证
杨永, 张强
西北工业大学 翼型、叶栅空气动力学国防科技重点实验室, 陕西 西安 710072
摘要:
分别应用Spalart和Dacles的曲率修正方法,基于结构化网格上的RANS求解器,加入了SARC和SAR模型,然后数值模拟了具有轻微曲率效应的零逆压梯度弯曲壁面和具有强曲率效应的180°U形弯管流动。基于SA模型的两种曲率修正方法的数值模拟结果表明:通过修改SA模型控制方程的部分源项,考虑曲率效应后的SARC和SAR模型的计算结果相当,都能够正确反映曲率效应所带来的额外雷诺应力,可以给出比原SA模型更加准确的数值模拟结果,更适于处理带有流线弯曲的流动问题。SARC模型部分结果要优于SAR模型,但SARC模型的计算量较大,需要更多的计算机资源;SAR模型增加的计算量有限,更易推广应用到三维或者非定常问题,但针对不同的问题,需调整模型中的曲率修正常数。
关键词:    SA模型    曲率修正    RANS    逆压梯度    雷诺应力   
Implementing and Verifying Two Rotation/Curvature Correction Methods for Spalart-Allmaras Turbulence Model
Yang Yong, Zhang Qiang
National Key Laboratory of Science and Techniques on Aerodynamic Design and Research, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
Aim. Two rotation-curvature correction methods are implemented to the one-equation Spalart-Allmarasturbulence model: one is proposed by Spalart and Shur (denoted as SARC),and the other is proposed by Dacles(denoted as SAR). Sections 1 through 4 of the full paper explain and evaluate our implementation and verificationas mentioned in the title; we believe that they bring useful results. Their core consists of: (1) the SARC and SARmodels are verified for two turbulent flows; one is the flow over the mild curvature curved wall and the other is theflow in a plane channel with a U-turn; the numerical results are presented in Figs. 2 through 5 and Figs. 7 through 9; (2) numerical predictions of the SARC and SAR models are compared,on the one hand with available experi-mental data and, on the other hand. with the corresponding results of the original standard SA model; (3) in termsof accuracy,the SARC or SAR model significantly improves the original SA model; (4) SARC model involves theLagrangian derivatives of the strain tensor and is much more difficult for using in three-dimensional and time accu-rate turbulent flow than SAR model; (5) the improvements in accuracy of SARC and SAR may be highly dependenton the rotation-curvature model constants,such as c r3 for SARC and c rot for SAR.
Key words:    computer simulation    Navier Stokes equations    pressure distribution    Reynolds number    strain    ten-sors    three dimensional    turbulence models;correction    curvature    improvement    Lagrangian deriva-tives    rotation   
收稿日期: 2011-12-01     修回日期:
DOI:
基金项目: 国家自然科学基金(11002117)资助
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作者简介: 杨永(1962-),西北工业大学教授、博士,主要从事理论与计算流体力学研究
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